Calculating Perimeter and Area Gateway – Unit 7 – Green Architecture © 2012 Project Lead The Way, Inc.

Calculating Perimeter and Area GTT – Green Architecture Unit 7 – Lesson 7.2 – Architectural Basics Perimeter What is a Perimeter? The sum of all the sides of a shape (S1+S2+S3+S4+…) For a Rectangle: P = 2 (H + W) P = Perimeter, H = Height, W = Width W = Width H = Height

What Is the Perimeter? 3” 2” Presentation Name Course Name Unit # – Lesson #.# – Lesson Name What Is the Perimeter? A rectangle has a width of 3” and a height of 2”. What is the perimeter of the rectangle? 3” 2” P = 2 (H + W) P = 2 (2”+3”) P = 10”

What Is the Perimeter? 6’- 6” 4’-0” Presentation Name Course Name Unit # – Lesson #.# – Lesson Name What Is the Perimeter? A rectangle has a width of 6’- 6” and a height of 4’-0”. What is the perimeter of the rectangle? 6’- 6” Convert 6’-6” to decimal feet 6’-6” = 6 ft + 6 in. × 1 ft 12 in. = 6.5 ft 4’-0” P = 2 (H + W) P = 2 (4’+6.5’) P = 21’

What Is the Perimeter? 8’ - 4” 4’ - 3” Presentation Name Course Name Unit # – Lesson #.# – Lesson Name What Is the Perimeter? A rectangle has a width of 8’-4” and a height of 4’-3”. What is the perimeter of the rectangle? 8’ - 4” Convert to decimal feet 8’-4” = 8 ft + 4 in.× 1 ft 12 in. = 8.33 ft 4’-3” = 4 ft + 3 in.× 1 ft 12 in. = 4.25 ft 4’ - 3” P = 2 (H + W) P = 2 (4.25’+8.33’) P = 25.16’

Presentation Name Course Name Unit # – Lesson #.# – Lesson Name Perimeter How would you determine the perimeter of this shape? 3” 3” 2” 6” 3” 5”

Perimeter 2’-3” 3’-3” 2’-2” 6’-6” 3’-3” 5’-5” Presentation Name Course Name Unit # – Lesson #.# – Lesson Name Perimeter Calculate the perimeter of this shape? 2’-3” 3’-3” 2’-2” 6’-6” 3’-3” 5’-5”

Presentation Name Course Name Unit # – Lesson #.# – Lesson Name Area What is Area? A two-dimensional surface enclosed within a specified boundary or geometric figure A = (H x W) A = Area, H = Height, W = Width W = Width H = Height

Presentation Name Course Name Unit # – Lesson #.# – Lesson Name What Is the Area? A rectangle has a width of 3 inches and a height of 2 inches. What is the area of the rectangle? 3” 2” A = H x W A = 2” x 3” A = 6 sq. in.

Presentation Name Course Name Unit # – Lesson #.# – Lesson Name What Is the Area? A rectangle has a width of 6’ – 6” and a height of 4’. What is the area of the rectangle? 6’- 6” 4’-0” Convert 6” to decimal feet. A = H x W A = 4’ x 6.5’ A = 26 sq. ft.

Presentation Name Course Name Unit # – Lesson #.# – Lesson Name What Is the Area? A rectangle has a width of 8’-4” and a height of 4’-3”. What is the area of the rectangle? 8’-4” 4’-3” Round to hundreds place. A = H x W A = 4.25’ x 8.33’ A = 35.40 sq. ft.

Area 3” 3” 2” 6” 3” 5” How would you determine the area of this shape? Presentation Name Course Name Unit # – Lesson #.# – Lesson Name Area How would you determine the area of this shape? 3” 3” 2” 6” Teach both of the following ways to calculate area: Find area of large rectangle 5 x 6 = 30 sq in. Then subtract the small rectangle 2 x 3 = 6 sq in. Therefore 30 – 6 = 24 sq. in. Find area of two smaller rectangles and add together. 3 x 5 = 15 sq in. + 3 x 3 = 9 sq in. Therefore 15 + 9 = 24 sq in. 3” 5”

Area 3’-6” 3’-6” 2’ 6’-6” 3’ 5’-6” Find the area of this shape? Presentation Name Course Name Unit # – Lesson #.# – Lesson Name Area Find the area of this shape? 3’-6” 3’-6” 2’ 6’-6” Teach both of the following ways to calculate area: Find area of large rectangle 5 x 6 = 30 sq in. Then subtract the small rectangle 2 x 3 = 6 sq in. Therefore 30 – 6 = 24 sq. in. Find area of two smaller rectangles and add together. 3 x 5 = 15 sq in. + 3 x 3 = 9 sq in. Therefore 15 + 9 = 24 sq in. 3’ 5’-6”

Find the Area and Perimeter You need to buy floor board trim and carpet for your bedroom. How much of each do you need? The door opening is 3’ - 0” wide. 1’ 3’ 10’

Find the Area and Perimeter Floor Trim = Perimeter P = S1+S2+S3+S4 P = 14’+(14’-3’)+10’+10’ P = 45 ft floor trim 1’ 3’ 10’

Find the Area and Perimeter Carpet = Area A = H x W A = 14’ x 10’ A = 140 sq. ft. carpet 1’ 3’ 10’